Be careful.. I had a similar problem but with x2 Oak trees one huge the other the opposite side of my garden med size. Both on council land, behind our fences. As you can guess local council wouldn't do anything to reduce the canopies, we paid every 4 years or so to get them reduced, bit of a palaver, as we had to get permission, every time.
Slowly the two trees branches completely coverd our garden, it not a dinky garden it about 60 ft wide.
Completely ruined any lawn, we tried to keep.
We re turfed x3, seeded tried everything, Oaks beautiful but a nightmare, they have cost us a small fortune over the years.
We had to employ a gardener ever 2 weeks from about Oct until Spring to sort out the Tons of leaves.
Under the tree we tried to extend the boarder, that was getting bigger. Tried Bark etc Absolutely ridiculous, hate it admitted it but we ended up with Artificial Grass, it was so bad. Bark, shingle would have been a joke, garden too big.
After several years we stared seeing Cracks in the house, called in Insurance company who monitored the House for about 4 years, they found Oak Tree DNA in the foundations, both those tree where felled, as the council had no option.
Try making boarder bigger but they are invasive trees.
Best of luck.